0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VAFEuX1zZT true 0.11/0.32 % Computer : n004.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Tue Aug 9 02:02:50 EDT 2022 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 960 s 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.11/0.32 % Python version: Python 3.6.8 0.11/0.32 % Running in HO mode 0.17/0.59 % Total configuration time : 828 0.17/0.59 % Estimated wc time : 1656 0.17/0.59 % Estimated cpu time (8 cpus) : 207.0 1.03/0.67 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 1.03/0.68 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 1.03/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 1.03/0.68 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 1.03/0.68 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 1.03/0.68 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 1.03/0.69 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 1.03/0.70 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 1.34/0.75 % Solved by lams/40_c.s.sh. 1.34/0.75 % done 27 iterations in 0.037s 1.34/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 1.34/0.75 % SZS output start Refutation 1.34/0.75 thf(mworld_type, type, mworld: $tType). 1.34/0.75 thf(mlocal_type, type, mlocal: (mworld > $o) > $o). 1.34/0.75 thf(sk__6_type, type, sk__6: $i). 1.34/0.75 thf(eiw_di_type, type, eiw_di: $i > mworld > $o). 1.34/0.75 thf(mimplies_type, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o). 1.34/0.75 thf(sk__8_type, type, sk__8: $i). 1.34/0.75 thf(mand_type, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o). 1.34/0.75 thf(sk__7_type, type, sk__7: $i). 1.34/0.75 thf(mactual_type, type, mactual: mworld). 1.34/0.75 thf(member_type, type, member: $i > $i > mworld > $o). 1.34/0.75 thf(mequiv_type, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o). 1.34/0.75 thf(mexists_di_type, type, mexists_di: ($i > mworld > $o) > mworld > $o). 1.34/0.75 thf(mforall_di_type, type, mforall_di: ($i > mworld > $o) > mworld > $o). 1.34/0.75 thf(intersect_type, type, intersect: $i > $i > mworld > $o). 1.34/0.75 thf(mforall_di_def, axiom,(( mforall_di ) = 1.34/0.75 (^[A:( $i > mworld > $o ),W:mworld]: 1.34/0.75 ( ![X:$i]: ( ( eiw_di @ X @ W ) => ( A @ X @ W ) ) )))). 1.34/0.75 thf('0', plain, 1.34/0.75 (( mforall_di ) = 1.34/0.75 ( ^[A:( $i > mworld > $o ),W:mworld]: 1.34/0.75 ( ![X:$i]: ( ( eiw_di @ X @ W ) => ( A @ X @ W ) ) ) )), 1.34/0.75 inference('simplify_rw_rule', [status(thm)], [mforall_di_def])). 1.34/0.75 thf('1', plain, 1.34/0.75 (( mforall_di ) = 1.34/0.75 ( ^[V_1:( $i > mworld > $o ),V_2:mworld]: 1.34/0.75 ( ![X4:$i]: ( ( eiw_di @ X4 @ V_2 ) => ( V_1 @ X4 @ V_2 ) ) ) )), 1.34/0.75 define([status(thm)])). 1.34/0.75 thf(mimplies_def, axiom,(( mimplies ) = 1.34/0.75 (^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: 1.34/0.75 ( ( A @ W ) => ( B @ W ) )))). 1.34/0.75 thf('2', plain, 1.34/0.75 (( mimplies ) = 1.34/0.75 ( ^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: 1.34/0.75 ( ( A @ W ) => ( B @ W ) ) )), 1.34/0.75 inference('simplify_rw_rule', [status(thm)], [mimplies_def])). 1.34/0.75 thf('3', plain, 1.34/0.75 (( mimplies ) = 1.34/0.75 ( ^[V_1:( mworld > $o ),V_2:( mworld > $o ),V_3:mworld]: 1.34/0.75 ( ( V_1 @ V_3 ) => ( V_2 @ V_3 ) ) )), 1.34/0.75 define([status(thm)])). 1.34/0.75 thf(mand_def, axiom,(( mand ) = 1.34/0.75 (^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: ( ( A @ W ) & ( B @ W ) )))). 1.34/0.75 thf('4', plain, 1.34/0.75 (( mand ) = 1.34/0.75 ( ^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: 1.34/0.75 ( ( A @ W ) & ( B @ W ) ) )), 1.34/0.75 inference('simplify_rw_rule', [status(thm)], [mand_def])). 1.34/0.75 thf('5', plain, 1.34/0.75 (( mand ) = 1.34/0.75 ( ^[V_1:( mworld > $o ),V_2:( mworld > $o ),V_3:mworld]: 1.34/0.75 ( ( V_1 @ V_3 ) & ( V_2 @ V_3 ) ) )), 1.34/0.75 define([status(thm)])). 1.34/0.75 thf(mlocal_def, axiom,(( mlocal ) = 1.34/0.75 (^[Phi:( mworld > $o )]: ( Phi @ mactual )))). 1.34/0.75 thf('6', plain, (( mlocal ) = ( ^[Phi:( mworld > $o )]: ( Phi @ mactual ) )), 1.34/0.75 inference('simplify_rw_rule', [status(thm)], [mlocal_def])). 1.34/0.75 thf('7', plain, (( mlocal ) = ( ^[V_1:( mworld > $o )]: ( V_1 @ mactual ) )), 1.34/0.75 define([status(thm)])). 1.34/0.75 thf(prove_th13, conjecture, 1.34/0.75 (mlocal @ 1.34/0.75 ( mforall_di @ 1.34/0.75 ( ^[B:$i]: 1.34/0.75 ( mforall_di @ 1.34/0.75 ( ^[C:$i]: 1.34/0.75 ( mforall_di @ 1.34/0.75 ( ^[D:$i]: 1.34/0.75 ( mimplies @ 1.34/0.75 ( mand @ ( member @ B @ C ) @ ( member @ B @ D ) ) @ 1.34/0.75 ( intersect @ C @ D ) ) ) ) ) ) ) ))). 1.34/0.75 thf(zf_stmt_0, conjecture, 1.34/0.75 (![X4:$i]: 1.34/0.75 ( ( eiw_di @ X4 @ mactual ) => 1.34/0.75 ( ![X6:$i]: 1.34/0.75 ( ( eiw_di @ X6 @ mactual ) => 1.34/0.75 ( ![X8:$i]: 1.34/0.75 ( ( eiw_di @ X8 @ mactual ) => 1.34/0.75 ( ( ( member @ X4 @ X6 @ mactual ) & 1.34/0.75 ( member @ X4 @ X8 @ mactual ) ) => 1.34/0.75 ( intersect @ X6 @ X8 @ mactual ) ) ) ) ) ) ))). 1.34/0.75 thf(zf_stmt_1, negated_conjecture, 1.34/0.75 (~( ![X4:$i]: 1.34/0.75 ( ( eiw_di @ X4 @ mactual ) => 1.34/0.75 ( ![X6:$i]: 1.34/0.75 ( ( eiw_di @ X6 @ mactual ) => 1.34/0.75 ( ![X8:$i]: 1.34/0.75 ( ( eiw_di @ X8 @ mactual ) => 1.34/0.75 ( ( ( member @ X4 @ X6 @ mactual ) & 1.34/0.75 ( member @ X4 @ X8 @ mactual ) ) => 1.34/0.75 ( intersect @ X6 @ X8 @ mactual ) ) ) ) ) ) ) )), 1.34/0.75 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 1.34/0.75 thf(zip_derived_cl8, plain, (~ (intersect @ sk__7 @ sk__8 @ mactual)), 1.34/0.75 inference('cnf', [status(esa)], [zf_stmt_1])). 1.34/0.75 thf(symmetry_of_intersect, axiom, 1.34/0.75 (mlocal @ 1.34/0.75 ( mforall_di @ 1.34/0.75 ( ^[B:$i]: 1.34/0.75 ( mforall_di @ 1.34/0.75 ( ^[C:$i]: 1.34/0.75 ( mimplies @ ( intersect @ B @ C ) @ ( intersect @ C @ B ) ) ) ) ) ))). 1.34/0.75 thf(zf_stmt_2, axiom, 1.34/0.75 (![X4:$i]: 1.34/0.75 ( ( eiw_di @ X4 @ mactual ) => 1.34/0.75 ( ![X6:$i]: 1.34/0.75 ( ( eiw_di @ X6 @ mactual ) => 1.34/0.75 ( ( intersect @ X4 @ X6 @ mactual ) => 1.34/0.75 ( intersect @ X6 @ X4 @ mactual ) ) ) ) ))). 1.34/0.75 thf(zip_derived_cl0, plain, 1.34/0.75 (![X0 : $i, X1 : $i]: 1.34/0.75 (~ (eiw_di @ X0 @ mactual) 1.34/0.75 | (intersect @ X0 @ X1 @ mactual) 1.34/0.75 | ~ (intersect @ X1 @ X0 @ mactual) 1.34/0.75 | ~ (eiw_di @ X1 @ mactual))), 1.34/0.75 inference('cnf', [status(esa)], [zf_stmt_2])). 1.34/0.75 thf(zip_derived_cl10, plain, ( (member @ sk__6 @ sk__7 @ mactual)), 1.34/0.75 inference('cnf', [status(esa)], [zf_stmt_1])). 1.34/0.75 thf(zip_derived_cl9, plain, ( (member @ sk__6 @ sk__8 @ mactual)), 1.34/0.75 inference('cnf', [status(esa)], [zf_stmt_1])). 1.34/0.75 thf(mexists_di_def, axiom,(( mexists_di ) = 1.34/0.75 (^[A:( $i > mworld > $o ),W:mworld]: 1.34/0.75 ( ?[X:$i]: ( ( A @ X @ W ) & ( eiw_di @ X @ W ) ) )))). 1.34/0.75 thf('8', plain, 1.34/0.75 (( mexists_di ) = 1.34/0.75 ( ^[A:( $i > mworld > $o ),W:mworld]: 1.34/0.75 ( ?[X:$i]: ( ( A @ X @ W ) & ( eiw_di @ X @ W ) ) ) )), 1.34/0.75 inference('simplify_rw_rule', [status(thm)], [mexists_di_def])). 1.34/0.75 thf('9', plain, 1.34/0.75 (( mexists_di ) = 1.34/0.75 ( ^[V_1:( $i > mworld > $o ),V_2:mworld]: 1.34/0.75 ( ?[X4:$i]: ( ( V_1 @ X4 @ V_2 ) & ( eiw_di @ X4 @ V_2 ) ) ) )), 1.34/0.75 define([status(thm)])). 1.34/0.75 thf(mequiv_def, axiom,(( mequiv ) = 1.34/0.75 (^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: 1.34/0.75 ( ( A @ W ) <=> ( B @ W ) )))). 1.34/0.75 thf('10', plain, 1.34/0.75 (( mequiv ) = 1.34/0.75 ( ^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]: 1.34/0.75 ( ( A @ W ) <=> ( B @ W ) ) )), 1.34/0.75 inference('simplify_rw_rule', [status(thm)], [mequiv_def])). 1.34/0.75 thf('11', plain, 1.34/0.75 (( mequiv ) = 1.34/0.75 ( ^[V_1:( mworld > $o ),V_2:( mworld > $o ),V_3:mworld]: 1.34/0.75 ( ( V_1 @ V_3 ) <=> ( V_2 @ V_3 ) ) )), 1.34/0.75 define([status(thm)])). 1.34/0.75 thf(intersect_defn, axiom, 1.34/0.75 (mlocal @ 1.34/0.75 ( mforall_di @ 1.34/0.75 ( ^[B:$i]: 1.34/0.75 ( mforall_di @ 1.34/0.75 ( ^[C:$i]: 1.34/0.75 ( mequiv @ 1.34/0.75 ( intersect @ B @ C ) @ 1.34/0.75 ( mexists_di @ 1.34/0.75 ( ^[D:$i]: ( mand @ ( member @ D @ B ) @ ( member @ D @ C ) ) ) ) ) ) ) ) ))). 1.34/0.75 thf(zf_stmt_3, axiom, 1.34/0.75 (![X4:$i]: 1.34/0.75 ( ( eiw_di @ X4 @ mactual ) => 1.34/0.75 ( ![X6:$i]: 1.34/0.75 ( ( eiw_di @ X6 @ mactual ) => 1.34/0.75 ( ( intersect @ X4 @ X6 @ mactual ) <=> 1.34/0.75 ( ?[X8:$i]: 1.34/0.75 ( ( member @ X8 @ X4 @ mactual ) & 1.34/0.75 ( member @ X8 @ X6 @ mactual ) & ( eiw_di @ X8 @ mactual ) ) ) ) ) ) ))). 1.34/0.75 thf(zip_derived_cl5, plain, 1.34/0.75 (![X0 : $i, X1 : $i, X2 : $i]: 1.34/0.75 (~ (eiw_di @ X0 @ mactual) 1.34/0.75 | ~ (member @ X1 @ X2 @ mactual) 1.34/0.75 | ~ (member @ X1 @ X0 @ mactual) 1.34/0.75 | ~ (eiw_di @ X1 @ mactual) 1.34/0.75 | (intersect @ X2 @ X0 @ mactual) 1.34/0.75 | ~ (eiw_di @ X2 @ mactual))), 1.34/0.75 inference('cnf', [status(esa)], [zf_stmt_3])). 1.34/0.75 thf(zip_derived_cl40, plain, 1.34/0.75 (![X0 : $i]: 1.34/0.75 (~ (eiw_di @ sk__8 @ mactual) 1.34/0.75 | (intersect @ sk__8 @ X0 @ mactual) 1.34/0.75 | ~ (eiw_di @ sk__6 @ mactual) 1.34/0.75 | ~ (member @ sk__6 @ X0 @ mactual) 1.34/0.75 | ~ (eiw_di @ X0 @ mactual))), 1.34/0.75 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl5])). 1.34/0.75 thf(zip_derived_cl7, plain, ( (eiw_di @ sk__8 @ mactual)), 1.34/0.75 inference('cnf', [status(esa)], [zf_stmt_1])). 1.34/0.75 thf(zip_derived_cl6, plain, ( (eiw_di @ sk__6 @ mactual)), 1.34/0.75 inference('cnf', [status(esa)], [zf_stmt_1])). 1.34/0.75 thf(zip_derived_cl51, plain, 1.34/0.75 (![X0 : $i]: 1.34/0.75 ( (intersect @ sk__8 @ X0 @ mactual) 1.34/0.75 | ~ (member @ sk__6 @ X0 @ mactual) 1.34/0.75 | ~ (eiw_di @ X0 @ mactual))), 1.34/0.75 inference('demod', [status(thm)], 1.34/0.75 [zip_derived_cl40, zip_derived_cl7, zip_derived_cl6])). 1.34/0.75 thf(zip_derived_cl63, plain, 1.34/0.75 ((~ (eiw_di @ sk__7 @ mactual) | (intersect @ sk__8 @ sk__7 @ mactual))), 1.34/0.75 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl51])). 1.34/0.75 thf(zip_derived_cl11, plain, ( (eiw_di @ sk__7 @ mactual)), 1.34/0.75 inference('cnf', [status(esa)], [zf_stmt_1])). 1.34/0.75 thf(zip_derived_cl69, plain, ( (intersect @ sk__8 @ sk__7 @ mactual)), 1.34/0.75 inference('demod', [status(thm)], [zip_derived_cl63, zip_derived_cl11])). 1.34/0.75 thf(zip_derived_cl85, plain, 1.34/0.75 ((~ (eiw_di @ sk__8 @ mactual) 1.34/0.75 | (intersect @ sk__7 @ sk__8 @ mactual) 1.34/0.75 | ~ (eiw_di @ sk__7 @ mactual))), 1.34/0.75 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl69])). 1.34/0.75 thf(zip_derived_cl7, plain, ( (eiw_di @ sk__8 @ mactual)), 1.34/0.75 inference('cnf', [status(esa)], [zf_stmt_1])). 1.34/0.75 thf(zip_derived_cl11, plain, ( (eiw_di @ sk__7 @ mactual)), 1.34/0.75 inference('cnf', [status(esa)], [zf_stmt_1])). 1.34/0.75 thf(zip_derived_cl88, plain, ( (intersect @ sk__7 @ sk__8 @ mactual)), 1.34/0.75 inference('demod', [status(thm)], 1.34/0.75 [zip_derived_cl85, zip_derived_cl7, zip_derived_cl11])). 1.34/0.75 thf(zip_derived_cl92, plain, ($false), 1.34/0.75 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl88])). 1.34/0.75 1.34/0.75 % SZS output end Refutation 1.34/0.75 1.34/0.75 1.34/0.75 % Terminating... 1.62/0.80 % Runner terminated. 1.62/0.82 % Zipperpin 1.5 exiting 1.62/0.82 EOF